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Finding the Fourth Proportional to 13,885.98, 20,802.82 and 6,857.77

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Solution

The fourth proportional to 13,885.98, 20,802.82 and 6,857.77 is: 10,273.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,885.98 : 20,802.82 = 6,857.77 : x
  2. Step 2: Convert to fraction form
    13,885.98/20,802.82 = 6,857.77/x
  3. Step 3: Cross multiply
    13,885.98x = 20,802.82 × 6,857.77
  4. Step 4: Simplify right side
    13,885.98x = 142,660,954.91
  5. Step 5: Solve for x
    x = 142,660,954.91/13,885.98
  6. Step 6: Final answer
    x = 10,273.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.